Abstract
In psychological research paired comparisons, which demand judges to evaluate the trade-off between two alternatives, have been shown to yield valid estimates of the judges’ preferences. For this situation we present optimal and efficient designs in a response surface setting where the alternatives are modelled by a polynomial.
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References
Atkins, J.E. and Cheng, C.-S. (1999). Optimal regression designs in the presence of random block effects. J. Statist. Plann. Inference 77, 321–335.
Atwood, C.L. (1969). Optimal and efficient designs of experiments. Ann. Math. Statist. 40, 1570–1602.
Bateson, J.E.G., Reibstein, D.J. and Boulding, W. (1987). Conjoint analysis reliability and validity: A framework for future research. In Review of Marketing Ed. M.J. Houston, pp. 451–481. Chicago: American Marketing Association.
David, H.A. (1963). The Method of Paired Comparisons. London: Griffin.
Dette, H. and Studden, W.J. (1997). The Theory of Canonical Moments with Applications in Statistics, Probability, and Analysis. New York: Wiley.
Fedorov, V.V. (1972). Theory of Optimal Experiments. New York: Academic Press.
Kiefer, J. (1959). Optimal experimental designs. J. R. Statist. Soc. B 21, 272–304.
Kiefer, J. and Wolfowitz, J. (1960). The equivalence of twoextremum problems. Can. J. Math. 12, 363–366.
McClelland, G.H. (1997). Optimal design in psychological research. Psychological Methods 2, 3–19.
Rafajlowicz, E. and Myszka, W. (1992). When product type experimental design is optimal? — Brief survey and new results. Metrika 39, 321–333.
Schwabe, R. (1996). Optimum Designs for Multi-Factor Models. Lecture Notes in Statistics 113. New York: Springer-Verlag.
Silvey, S.D. (1972). Discussion of the paper by H.P. Wynn. J. R. Statist. Soc. B 34, 174–175.
van Berkum, E.E.M. (1987). Optimal Paired Comparison Designs for Factorial Experiments, CWI Tract 31.
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Großmann, H., Holling, H., Graßhoff, U., Schwabe, R. (2001). Efficient Designs for Paired Comparisons with a Polynomial Factor. In: Atkinson, A., Bogacka, B., Zhigljavsky, A. (eds) Optimum Design 2000. Nonconvex Optimization and Its Applications, vol 51. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3419-5_5
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DOI: https://doi.org/10.1007/978-1-4757-3419-5_5
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